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Properties

Label 1104.2.bg
Level $1104$
Weight $2$
Character orbit 1104.bg
Rep. character $\chi_{1104}(79,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $240$
Sturm bound $384$

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Defining parameters

Level: \( N \) \(=\) \( 1104 = 2^{4} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1104.bg (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 92 \)
Character field: \(\Q(\zeta_{22})\)
Sturm bound: \(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1104, [\chi])\).

Total New Old
Modular forms 2040 240 1800
Cusp forms 1800 240 1560
Eisenstein series 240 0 240

Trace form

\( 240 q + 24 q^{9} + O(q^{10}) \) \( 240 q + 24 q^{9} + 24 q^{25} + 48 q^{41} + 24 q^{49} + 48 q^{77} - 24 q^{81} + 264 q^{85} + 264 q^{89} + 48 q^{93} + 264 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1104, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(1104, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1104, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(92, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(184, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(368, [\chi])\)\(^{\oplus 2}\)